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12904803755844 = 2237211131931260569
BaseRepresentation
bin1011101111001010001000…
…1111100110011101000100
31200200200112221222021012220
42323302202033212131010
53142413014230141334
643240215054412340
72501225032025100
oct273624217463504
950620487867186
1012904803755844
114125995324550
1215450548010b0
13727bc1466970
1432884ad80900
15175a3c03c449
hexbbca23e6744

12904803755844 has 576 divisors, whose sum is σ = 44714312294400. Its totient is φ = 2836647475200.

The previous prime is 12904803755843. The next prime is 12904803755867. The reversal of 12904803755844 is 44855730840921.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12904803755843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49395192 + ... + 49655760.

It is an arithmetic number, because the mean of its divisors is an integer number (77629014400).

Almost surely, 212904803755844 is an apocalyptic number.

12904803755844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12904803755844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22357156147200).

12904803755844 is an abundant number, since it is smaller than the sum of its proper divisors (31809508538556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12904803755844 is a wasteful number, since it uses less digits than its factorization.

12904803755844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260664 (or 260655 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 12904803755844 in words is "twelve trillion, nine hundred four billion, eight hundred three million, seven hundred fifty-five thousand, eight hundred forty-four".